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2. Let G : R-R be twice differentiable such that for all r E R, G(r) 21 Prove that G(2) 2G(3) + G(4) +

2. Let G : R-R be twice differentiable such that for all r E R, G"(r) 21 Prove that G(2) 2G(3) + G(4) + G(5) 2G(6) + G(7) > 2. (Hint: Consider Taylor's theorem.)

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